Question

A relationship of conversion between Fahrenheit temperature $\left(t_{f}\right)$ and Celsius temperature $\left(t_{c}\right)$ is a straight line whose equation is

• A. $\frac{t_{c}-32}{100}=\frac{t_{f}}{180}$
• B. $\frac{t_{f}-32}{100}=\frac{t_{c}-0}{100-0}$
• C. $\frac{t_{f}-32}{180}=\frac{t_{c}}{100}$
• D. $\frac{t_{c}-32}{180}=\frac{t_{f}}{100}$

Answer 1

Answer: (C)

The ice point in Fahrenheit scale is $32^{\circ} F$ and the steam point in Fahrenheit scale is $212^{\circ} F$. Similarly, the ice point in Celsius scale is $0^{\circ} C$ and the steam point in Celsius scale is $100^{\circ} C$. Thus,
$\frac{t_{f}-32}{212-32}=\frac{t_{ c }-0}{100-0}$
$ \Rightarrow \frac{t_{f}-32}{180}=\frac{t_{ c }}{100}$